13301233122132 has 144 divisors (see below), whose sum is σ = 35723374202880. Its totient is φ = 4165535808000.

The previous prime is 13301233122113. The next prime is 13301233122137. The reversal of 13301233122132 is 23122133210331.

13301233122132 is a `hidden beast` number, since 1 + 3 + 301 + 2 + 331 + 2 + 21 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13301233122096 and 13301233122105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13301233122137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15988257 + ... + 16799607.

It is an arithmetic number, because the mean of its divisors is an integer number (248078987520).

Almost surely, 2^{13301233122132} is an apocalyptic number.

13301233122132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13301233122132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17861687101440).

13301233122132 is an abundant number, since it is smaller than the sum of its proper divisors (22422141080748).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13301233122132 is a wasteful number, since it uses less digits than its factorization.

13301233122132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811814 (or 811809 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13301233122132 its reverse (23122133210331), we get a palindrome (36423366332463).

The spelling of 13301233122132 in words is "thirteen trillion, three hundred one billion, two hundred thirty-three million, one hundred twenty-two thousand, one hundred thirty-two".